using equation 1 2x - 4y = -2 2x = 4y -2 x = (4y - 2)/2
now plug X into equation 2 2((4y-2)/2) + 3y = 12 multiplying 2 and dividing 2 cancel out leaving us with 4y - 2 + 3y = 12 combine like terms 7y -2 = 12 add 2 7y = 14 now divide by 7 y = 2
knowing that y is equal to 2 we can plug 2 into the first equation